1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BARSIC [14]
1 year ago
10

Given that f.x 3x-2 over x+1 g[x] x +5 evaluate f[-4] and gf [-2]

Mathematics
1 answer:
Jobisdone [24]1 year ago
6 0

The value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

<h3>What is the value of f[-4] and g°f[-2]?</h3>

Given the function;

  • f(x) = \frac{3x-2}{x+1}
  • g(x)=x+5
  • f[ -4 ] = ?
  • g°f[ -2 ] = ?

For f[ -4 ], we substitute -4 for every variable x in the function.

f(x) = \frac{3x-2}{x+1}\\\\f(-4) = \frac{3(-4)-2}{(-4)+1}\\\\f(-4) = \frac{-12-2}{-4+1}\\\\f(-4) = \frac{-14}{-3}\\\\f(-4) = \frac{14}{3}

For g°f[-2]

g°f[-2] is expressed as g(f(-2))

g(\frac{3x-2}{x+1}) =  (\frac{3x-2}{x+1}) + 5\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2}{x+1} + \frac{5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{3x-2+5(x+1)}{x+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{8x+3}{x+1}\\\\We\ substitute \ in \ [-2] \\\\g(\frac{3x-2}{x+1}) =  \frac{8(-2)+3}{(-2)+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-16+3}{-2+1}\\\\g(\frac{3x-2}{x+1}) =  \frac{-13}{-1}\\\\g(\frac{3x-2}{x+1}) =  13

Therefore, the value of f[ -4 ] and g°f[-2] are \frac{14}{3} and 13 respectively.

Learn more about composite functions here: brainly.com/question/20379727

#SPJ1

You might be interested in
Without solving, determine whether the solution of x = 21 is greater than or less than 21. Explain.
astraxan [27]

Answer:

Without solving, the solution is greater than 21.  The can be proven because a fraction of x is equal to 21, therefore x cannot be less than 21.  

Step-by-step explanation:

7 0
2 years ago
An airplane on autopilot took 5 hours to travel 3,595 kilometers. What is the unit rate for kilometers per​ hour?
Mnenie [13.5K]

Answer:

719 km/hour

Step-by-step explanation:

To find the unit rate you have to divide

3595/5 = 719 km/hour

3 0
2 years ago
Read 2 more answers
I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))
UNO [17]

Answer:

83

Step-by-step explanation:

The 126 angle is an exterior angle of the triangle.

The 43 and x angles are the two remote interior angles of the 126 angle.

<em>Theorem:</em>

<em>The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.</em>

x + 43 = 126

x = 83

4 0
3 years ago
Read 2 more answers
How can you classify a trapezoid in other terms?
Harrizon [31]
<span>The sections that it is in are Classifying Quadrilaterals Properties of Parallelograms Special Parallelograms Trapezoids and Kites Placing Figures in the Coordinate Plane</span>
8 0
3 years ago
5x + 6(x - 2) - 8 (x - 3)
Alex Ar [27]

Answer:

The value of x=-4. The figure is also attached below.

Step-by-step explanation:

Considering the expression

5x + 6(x - 2) - 8 (x - 3)

If we have to find the vale of x, then

5x + 6(x - 2) - 8 (x - 3)=0

5x+6x-12-8\left(x-3\right)=0

5x+6x-12-8x+24=0

3x+12=0

\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}

3x+12-12=0-12

3x=-12

\mathrm{Divide\:both\:sides\:by\:}3

\frac{3x}{3}=\frac{-12}{3}

x=-4

Therefore, the value of x=-4. The figure is also attached below.

Keywords: equation

Learn more about equation solution from brainly.com/question/13678520

#learnwithBrainly

5 0
3 years ago
Other questions:
  • A number is divided by 2. If 16 is added to the quotient you get 20. What is the number? A.2 B.8 C.18 D.72
    8·2 answers
  • Jill purchased fruit juice boxes for a party . She purchased 1 case of 44 boxes and several packs containing 4 boxes each.Let p
    7·1 answer
  • I need help im stuxk again and thanks who help me​
    7·1 answer
  • An object in geometry with no width length or height is
    9·1 answer
  • WILL MARK BRAINLIEST In a scavenger hunt through the city, Item 1 lies due north
    8·2 answers
  • "Patricia drank one-fourth of the lemonade in her glass. Write an expression in terms of p that represents the number of ounces
    11·2 answers
  • If f(x) = - 6x - 3, then find f( - 2 )<br><br> PLS ANSWER
    14·2 answers
  • Please help this is due TODAY
    7·1 answer
  • The talk-time battery life of a group of cell phone is normally distributed with a mean of 5 hours and a standard deviation of 1
    8·1 answer
  • Multiply 5.4x and 2x.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!